Assignment:

Pine Mountain furniture is a family-owned business that makes handcrafted tables and chairs. The obtain the pine from a tree farm in northern Georgia, which ships them 2500 pounds of pine each month.

Each table uses 50 pounds of pine while each chair uses 25 pounds of pine. The family builds all the furniture itself and has 480 hours of labor available each month. Each table requires 5 hours of labor while each chair requires 6 hours of labor. Each table nets Pine Mountain $440 in profit, while each chair nets $150 in profit. Since chairs are often sold with the tables, they want to product at least twice as many chairs as tables.

Required:

Question: Write the linear programming formulation to help determine the optimal mix of tables and chairs for Pine Mountain to produce.